The number 8987
8987 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 43. Divisors (8): 1, 11, 19, 43, 209, 473, 817, 8987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8987 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8987 is composite. Its prime factorisation is
- 3
The divisors add up to 10560; without 8987 itself that is 1573, so 8987 is deficient (1573 is less than 8987). Euler's totient φ(8987) = 7560 numbers up to 8987 share no factor with it.
- 4
The digits of 8987 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8987 = 11 \times 19 \times 43 \]
8987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10560 |
| Euler totient φ(n) | 7560 |
| Square | 80766169 |
| Cube | 725845560803 |
| Square root | 94.799789 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 8.987 × |
8987 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and eighty-seven |
| Binary (base 2) | 10001100011011 |
| Octal (base 8) | 21433 |
| Hexadecimal (base 16) | 231B |
| Base 3 | 110022212 |
| As time | 8987 seconds = 2 h 29 min 47 s |
Is 8987 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8987 ÷ 11 = 817) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8987 a prime number?
No. 8987 = 11 × 19 × 43, so it is divisible by 11.
What are the factors of 8987?
1, 11, 19, 43, 209, 473, 817, 8987.
What is 8987 in binary?
10001100011011 (hexadecimal 231B, octal 21433).
What is the square root of 8987?
About 94.7998.
Is 8987 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 8987?
It is a composite number with 8 divisors.